If Q is an integer between 10 and 100, what is the value of Q ?

(1) One of Q's digits is 3 more than the other, and the sum of its digits is 9.

(2) Q < 50


Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

EACH statement ALONE is sufficient.

Statements (1) and (2) TOGETHER are NOT sufficient.

考题讲解

题目分析:

设Q的个位数为x,十位数为y,本题求10y+x

(1)   根据条件1有x=y+3或者y=x+3,同时x+y=9,满足条件1的数为63或者36,但不能确定是63还是36。

(2)   条件2给出Q<50,满足条件2的两位数有很多,无法确认。

结合条件1和条件2,条件1确定Q为63或者36,条件2给出Q<50,则Q只能为36。

因此,本题答案为(C),两个条件结合起来才能解题,任何单独一个均不行。

 

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